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Finding the Fourth Proportional to 2,769.62, 4,154.44 and 821.84

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Solution

The fourth proportional to 2,769.62, 4,154.44 and 821.84 is: 1,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.62 : 4,154.44 = 821.84 : x
  2. Step 2: Convert to fraction form
    2,769.62/4,154.44 = 821.84/x
  3. Step 3: Cross multiply
    2,769.62x = 4,154.44 × 821.84
  4. Step 4: Simplify right side
    2,769.62x = 3,414,284.97
  5. Step 5: Solve for x
    x = 3,414,284.97/2,769.62
  6. Step 6: Final answer
    x = 1,232.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.